The method originally proposed by Siegman [Opt. Lett. 1, 13 (1977)] for evaluating numerically the Hankel transform by fast-Fourier-transform techniques is reconsidered. A novel analytical form is found that permits a numerical computation of the Hankel transform with accuracy comparable with that of Siegman’s approach without lower-end corrections; but for simplicity and numerical efficiency the original approach remains unsurpassed.
Numerical evaluation of the Hankel transform: remarks
AGNESI, ANTONIANGELO;REALI, GIANCARLO;TOMASELLI, ALESSANDRA
1993-01-01
Abstract
The method originally proposed by Siegman [Opt. Lett. 1, 13 (1977)] for evaluating numerically the Hankel transform by fast-Fourier-transform techniques is reconsidered. A novel analytical form is found that permits a numerical computation of the Hankel transform with accuracy comparable with that of Siegman’s approach without lower-end corrections; but for simplicity and numerical efficiency the original approach remains unsurpassed.File in questo prodotto:
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